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Finding the Fourth Proportional to 13,216.50, 19,824.48 and 3,355.74

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Solution

The fourth proportional to 13,216.50, 19,824.48 and 3,355.74 is: 5,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,216.50 : 19,824.48 = 3,355.74 : x
  2. Step 2: Convert to fraction form
    13,216.50/19,824.48 = 3,355.74/x
  3. Step 3: Cross multiply
    13,216.50x = 19,824.48 × 3,355.74
  4. Step 4: Simplify right side
    13,216.50x = 66,525,800.52
  5. Step 5: Solve for x
    x = 66,525,800.52/13,216.50
  6. Step 6: Final answer
    x = 5,033.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.